Properties

Level 2
Weight 0
Character 2.1
Symmetry odd
Fricke sign -1

Related objects

Downloads

Learn more about

Maass form of level 2 with the smallest eigenvalue.

Maass form invariants

Level: \( 2 \)
Weight: \( 0 \)
Character: 2.1
Symmetry: odd
Fricke sign: \(-1\)
Spectral parameter: \( 5.41733480684 \)

Maass form coefficients

\(a_{1}=+1.000000000\) \(a_{2}=+0.707106781\) \(a_{3}=-0.380538572\) \(a_{4}=+0.500000000\) \(a_{5}=-0.253812464\)
\(a_{6}=-0.269081407\) \(a_{7}=+0.397600584\) \(a_{8}=+0.353553391\) \(a_{9}=-0.855190395\) \(a_{10}=-0.179472515\)
\(a_{11}=+1.201833974\) \(a_{12}=-0.190269286\) \(a_{13}=-0.948703217\) \(a_{14}=+0.281146052\) \(a_{15}=+0.096585433\)
\(a_{16}=+0.250000000\) \(a_{17}=+0.472807317\) \(a_{18}=-0.604710927\) \(a_{19}=-0.231256665\) \(a_{20}=-0.126906232\)
\(a_{21}=-0.151302349\) \(a_{22}=+0.849824953\) \(a_{23}=+0.398077372\) \(a_{24}=-0.134540703\) \(a_{25}=-0.935579233\)
\(a_{26}=-0.670834478\) \(a_{27}=+0.705971504\) \(a_{28}=+0.198800280\) \(a_{29}=+0.830299584\) \(a_{30}=+0.068296215\)
\(a_{31}=-0.985533801\) \(a_{32}=+0.176776695\) \(a_{33}=-0.457344185\) \(a_{34}=+0.334325260\) \(a_{35}=-0.100915978\)
\(a_{36}=-0.427595197\) \(a_{37}=+1.217345917\) \(a_{38}=-0.163523156\) \(a_{39}=+0.361018168\) \(a_{40}=-0.089736257\)
\(a_{41}=-1.213893128\) \(a_{42}=-0.106986918\) \(a_{43}=-0.208503006\) \(a_{44}=+0.600916987\) \(a_{45}=+0.217057982\)
\(a_{46}=+0.281483209\) \(a_{47}=+0.872905392\) \(a_{48}=-0.095134646\) \(a_{49}=-0.841913788\) \(a_{50}=-0.661554406\)
\(a_{51}=-0.179921422\) \(a_{52}=-0.474351587\) \(a_{53}=+1.010367542\) \(a_{54}=+0.499197238\) \(a_{55}=-0.305040443\)
\(a_{56}=+0.140573026\) \(a_{57}=+0.088002081\) \(a_{58}=+0.587110466\) \(a_{59}=-0.823124819\) \(a_{60}=+0.048292716\)
\(a_{61}=+0.141375520\) \(a_{62}=-0.696877633\) \(a_{63}=-0.340024180\) \(a_{64}=+0.125000000\) \(a_{65}=+0.240792702\)
\(a_{66}=-0.323391175\) \(a_{67}=+1.611398664\) \(a_{68}=+0.236403659\) \(a_{69}=-0.151483796\) \(a_{70}=-0.071358373\)
\(a_{71}=-0.662064806\) \(a_{72}=-0.302355462\) \(a_{73}=-1.524518975\) \(a_{74}=+0.860793551\) \(a_{75}=+0.356023986\)
\(a_{76}=-0.115628338\) \(a_{77}=+0.477849863\) \(a_{78}=+0.255278402\) \(a_{79}=+0.466176761\) \(a_{80}=-0.063453114\)
\(a_{81}=+0.586540998\) \(a_{82}=-0.858352069\) \(a_{83}=-0.497617329\) \(a_{84}=-0.075651186\) \(a_{85}=-0.120004402\)
\(a_{86}=-0.147433905\) \(a_{87}=-0.315961045\) \(a_{88}=+0.424912531\) \(a_{89}=+0.315840081\) \(a_{90}=+0.153483288\)
\(a_{91}=-0.377205294\) \(a_{92}=+0.199038685\) \(a_{93}=+0.375033626\) \(a_{94}=+0.617237324\) \(a_{95}=+0.058695824\)
\(a_{96}=-0.067270351\) \(a_{97}=-0.162357950\) \(a_{98}=-0.595322954\) \(a_{99}=-1.027796870\) \(a_{100}=-0.467789618\)

Showing 100 of 6000 available coefficients

Rows: Cols: